The 13 U.S. states that raised their minimum wages at the beginning of this year are adding jobs at a faster pace than those that did not, providing some counter-intuitive fuel to the debate over what impact a higher minimum has on hiring trends.

Many business groups argue that raising the minimum wage discourages job growth by increasing the cost of hiring. A Congressional Budget Office report earlier this year lent some support for that view. It found that a minimum wage of $10.10 an hour, as President Obama supports, could cost 500,000 jobs nationwide.